Played a Multiplayer session on mission 3. Another player and I were on the purge objective, and after killing two brood lords in the turbine room, the enemies stopped spawning and we were unable to complete the objective and continue on. Thank you for your time.

We are aware of spawning issues on this specific objective. It should have been fixed on your current version.
Thank you for your feedback we'll update our ticket and try to reproduce the blocker on our side.